[tex]( \sin^{2} ( \frac{\pi}{ 4 } - \alpha ) ) = \frac{1}{2} (1 - \sin(2 \alpha ) )[/tex]
Prove​

Answers

Answer 1

Step-by-step explanation:

[tex] \sin^2 (\frac{\pi}{4} - \alpha) = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

Use the identity

[tex] \sin^2 \theta = \dfrac{1 - \cos 2\theta}{2} [/tex]

on the left side.

[tex] \dfrac{1 - \cos [2(\frac{\pi}{4} - \alpha)]}{2} = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

[tex] \dfrac{1 - \cos (\frac{\pi}{2} - 2\alpha)}{2} = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

Now use the identity

[tex] \sin \theta = \cos(\frac{\pi}{2} - \theta) [/tex]

on the left side.

[tex] \dfrac{1 - \sin 2\alpha}{2} = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

[tex] \frac{1}{2}(1 - \sin 2\alpha) = \frac{1}{2}(1 - \sin 2\alpha) [/tex]


Related Questions

G(n)=-11*4^n complete the recursive formula of g(n) g(1) g(n)=g(n-1)

Answers

-1 = 161,051
1x-1=-1
11^4= 161,051
I’m not sure

Answer:

-44

4

Step-by-step explanation:

write 6 3/10 as a improper fraction

ASAPPPPP

Answers

Answer:

63/10

Step-by-step explanation:

Answer:

63/10

Step-by-step explanation:

6 3/10

see, from the denominator that means 10,

multiply to whole, then 10×6,

we got 60 right;

now add numerator 60+3 = 63

here we got improper fraction,

that is 63/10

A jewelry artist is selling necklaces at an art fair. It costs $135 to rent a booth at the fair. The cost of materials for each necklace is $4.50. The artist is selling the necklaces at $12 each. The inequality 12n>135+4.50n represents the situation in which the artist makes a profit. Will the artist make a profit if she sells 15 necklaces? Show how you know.

Answers

Answer:

Step-by-step explanation:

12n>135+4.50n

12(15)>135+4.50(15)

180>135+67.50

180>202.50

False. They will not make a profit since the cost is 202.50 versus the selling price 180

Answer:no its not a profit

Step-by-step explanation:

someone please help me and fast if you can:(

Answers

The y intercept of the function is 700. And you are correct with the other one
the y intercept is 700. your second answer for why is correct!

The cross country track team ran 8.7 kilometers in 42.5 minutes during
their workout. Which equation could be used to find, r, the team's
average running speed in kilometers per minute?

Answers

42.5 Becuase it is correct

PLEASE HELP!!! 20 POINTS WILL MARK BRAINLIEST

Answers

Answer:

d

Step-by-step explanation:

Help please
Which of the following reasons would justify Statement 4?

Answers

The following reasons aren’t stated, but the congruency law is AAS

Peter says, "If you subtract 19 from my number and multiply the difference by - 7, the result is
- 140." What is Peter's number?
Peter's number is

Answers

Answer:

39

Step-by-step explanation:

His number is x.

"If you subtract 19 from my number"

x - 19

"and multiply the difference by - 7"

-7(x - 19)

"the result is  -140."

-7(x - 19) = -140

Divide both sides by -7.

x - 19 = 20

Add 19 to both sides.

x = 39

Answer: The number is 39.

I think the answer would be 39

Write a word description of the set.
{−6, −5, −4, −3, −2, −1}

Answers

The numbers in the brackets shown are from least to greatest. Negative six (being the lowest), negative five, negative four, negative three, negative two, negative one(being the greatest).
Hope this helps!

Solve for W
8/10 = w/15

Answers

Answer:

12 because 12/15 =.8 so does 8/10

Answer:

w=12

Step-by-step explanation:

8/10 is equal to 4/5. 4/5 is equal to 12/15. Therefore, W represents 12.

Brainliest are always appreciated :)

Greatest common factor of 25,50,75

Answers

Answer:

gcd (50; 75) = 25 = 5^2:

Step-by-step explanation:

hope it help

The greatest common factor of 25, 50 and 75 is 5*5, which is equal to 25.

We are given that;

The three numbers = 25, 50, 75

Now,

The greatest common factor (GCF) of two or more numbers is the largest positive integer that divides evenly into all the numbers with zero remainder.

To find the GCF of 25, 50 and 75, we can use the prime factorization method. This involves writing each number as a product of its prime factors and then finding the common factors among them.

The prime factorization of 25 is 5*5

The prime factorization of 50 is 2 x 5*5.

The prime factorization of 75 is 3 x 5*5.

The common factors of 25, 50 and 75 are 1 and 5*5.

Therefore, by factorization the answer will be 25.

Learn more about factorization here;

https://brainly.com/question/10454590

#SPJ4

The middle-school camera club sold 240 tulip bulbs and 360 daffodil bulbs. Students divided the bulbs into 100 bags to sell at the school fair. Write an expression to show how many bulbs went into each of the 100 bags if students put the same total number of bulbs in each bag.

Answers

There would be 600 bulbs in all, that makes. 6 in each of the 100 bags. An expression could be: 600 = 100x.

MOM PLSSSS COME ONLINE

REPOSTING

When completing an online shopping transaction, a typical shopper takes 23 seconds to select each product and another 4 seconds to complete the check out process. If it takes 50 second to complete a transaction, how many products are being purchased?

I NEED THE ANSWER ASAP THIS IXL IS DUE TODAY!!
I’m 62 points in and I need at least 80!

Answers

Answer:

2

__________________________________________________

The equation is 4 + 23x = 50

x = the number of items

4 + 46 + 50

50 = 50

What is the equation of the function:(-1,3),(0,4),(2,6)
A) f(x)= x^2 +x -4

Answers

(0,4)
hope this helped

3 values greater than |-3.5|

Answers

Answer:

6.5

Step-by-step explanation:

3.5 + 3

Answer:

6.5

Step-by-step explanation:

I-3.5I = 3.5

3.5 + 3 = 6.5

Check Work:

6.5 - 3.5 = 3

or

I-3 - 3.5I = I-6.5I = 6.5

can someone plz help i need to graph it and identify the x-intercept

Answers

Answer:

(-7/2,0) is the x intercept

Step-by-step explanation:

1. y+3 = -6/7x

2.  -3              -3 ....subtract 3 from both sides to isolate the variable y

y= =-6/7x -3 ....is your new equation

You graph it by putting your point on negative three and then counting 6 units down and 7 units right.

For the x intercept you set y to 0 and solve for x

0= -6/7x -3

+3               +3 ...to both sides

3= -6/7x .....divide both sides by -6/7

-7/2=x

put it in as a coordinate

Please please please help me with this !!!!!!

Answers

Answer:

Measure of angle T is 67.5 and measure of angle V is 22.5

Step-by-step explanation:

Solve for x

All the angles in a triangle equal 180

So,

3x + x +90 is 180.

Subtract 90 from both sides

3x+x = 90

Add like terms

4x = 90

Divide by 4 to solve for x

x = 22.5

Now substitute 22.5 in for 3x and x

Measure of angle T is 3(22.5) = 67.5 and measure of angle V is 22.5

Tom fed the dog 3 times as many times as her sister last week. His sister walked the dog 9 times. Max said he could multiply 4 times 9 to find out how many more times he walked the Dog than his sister. Is Tom correct?

Answers

Answer:

No

Step-by-step explanation:

The calculation that Tom is trying to do would be to calculate how many times he walked the dog if he had walked the dog 4 times as many times as his sister, who in this scenario walked the dog a total of 9 times. Since, in this scenario there is no mention of how many times Tom walked the dog then this calculation cannot be made and I would say that Tom is not correct.

Answer: nope

Step-by-step explanation: it’s just obvious

who is galactus devourer of worlds

Answers

Answer:

Galactus is far and away the more powerful villain in Marvel lore. They don't call him the Devourer of Worlds for nothing. He's a cosmic villain who literally eats planets to sustain himself. He first appeared in Marvel's Fantastic Four comics in the late 60's and is still one of the brand's toughest villains.

Step-by-step explanation:

Which is the graph of f(x) = RootIndex 3 StartRoot x EndRoot – 4?

Answers

Answer:

please mark me brainliest and follow me my friend.

HELP PLEASEEEE!!!!!!!!!!!!!!!!!

Answers

Answer:

-2

Step-by-step explanation:

Y-int is the point that touches the y-axis (the verticle line)

look at the point where it touches the y-axis

it is negative and it is 2. so it would be (0,-2) or -2

how much weight did the kitten gain in that month?

Answers

Answer:

21 ounces

Step-by-step explanation:

https://brainly.com/question/15457567

Answer:

about 2 pounds

At two months the kittens weigh about 2 pounds and can be spayed or neutered.

hope this helps

How do you find m and n?

Answers

Answer:

180°-50=130 this is m°

50-130=70 that is n°

PLZ HELP ME I BEG YOU!!!!!!!!!!!!!!
Sam has $92 and spends $5 every day. William has $41 and spends $2 every day. On what day will they have the same amount of money? Show work.

Answers

Day 17, they will have the same amount of money.


$92 - ($5 • 17) = 7

$41 - ($2 • 17) = 7

Let 17 represent the amount of days they both spent money, AND the day they ended up with the same amount of money. No other day before 17, they would’ve had the same amount of money. You can figure this out by plugging a different number in for 17, and seeing the answer will not be the same for both equations

Hope this helps.

Write the equation of the line that is parallel to the graph of Y= 1/2x + 6 ,and whose y-intercept is -2. ​

Answers

Answer:

y= -2x-2

Step-by-step explanation:

A square has side length 4 cm.
a. What is its area?

Answers

Answer:

16cm and a 2 as a exponet

Step-by-step explanation:

Answer:

A=16cm²

Step-by-step explanation:

i think 90% sure that its correct

Sara bought 12 apples, 24 oranges, and 18 bananas for fruit baskets. If Sara wants to create the greatest number of fruit baskets that all have the same amount of fruit without any left over, how many baskets can she create?

Answers

Answer:

Step-by-step explanation:

Apples- 2

Oranges-4

Bananas- 3

In each basket

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

C {14,47,50}

Step-by-step explanation:

For it to be a right triangle it would have to be {14,48,50}

Hope this helps

I need the top 2 pls

Answers

Answer:

Step-by-step explanation:

7:8 is 7/8

9:5

*welp* Can i 'ave a bit of help, please?

Answers

Answer:

3^2

Step-by-step explanation:

You add the exponents when you multiply

Then you subtract them since you divided them.

Answer:

9

Step-by-step explanation:

3^8=6561

3^4=81

3^2=9

3^8=6561

so... 6561*81/9*6561 equals nine so your answer is 9.

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